Approximation of Periodic Functions by Modified Steklov Averages in L 2

Verfasser / Beitragende:
[V. Dron', V. Zhuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 815-824
Format:
Artikel (online)
ID: 605522502
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024 7 0 |a 10.1007/s10958-015-2405-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2405-6 
245 0 0 |a Approximation of Periodic Functions by Modified Steklov Averages in L 2  |h [Elektronische Daten]  |c [V. Dron', V. Zhuk] 
520 3 |a In the space L 2 of periodic functions, sharp (in the sense of constants) lower estimates for the deviation of the modified Steklov functions of the first and second orders in terms of the modulus of continuity are established. Similar results are also obtained for even continuous periodic functions with nonnegative Fourier coefficients in the space C. Bibliography: 3 titles. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Dron'  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
700 1 |a Zhuk  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/6(2015-06-01), 815-824  |x 1072-3374  |q 207:6<815  |1 2015  |2 207  |o 10958 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2405-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dron'  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhuk  |D V.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/6(2015-06-01), 815-824  |x 1072-3374  |q 207:6<815  |1 2015  |2 207  |o 10958 
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